One refined passport of genus 13 with automorphism group $C_4^2:C_4$

• Label: 13.64-20.0.4-4-8.3
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_4^2:C_4\)
• Signature: \([ 0; 4, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_4^2:C_4$
Group identifier:	$[64,20]$
Signature:	$[ 0; 4, 4, 8 ]$

Conjugacy classes for this refined passport:

$13, 23, 28$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times A_{2}^{2}\times E^{2}\times E^{2}$
Corresponding character(s):	$7, 8, 9, 19, 21, 25, 26$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.3.1

	(1,17,3,19) (2,18,4,20) (5,21,7,23) (6,22,8,24) (9,25,11,27) (10,26,12,28) (13,29,15,31) (14,30,16,32) (33,49,35,51) (34,50,36,52) (37,53,39,55) (38,54,40,56) (41,57,43,59) (42,58,44,60) (45,61,47,63) (46,62,48,64)
	(1,35,6,40) (2,36,5,39) (3,34,8,37) (4,33,7,38) (9,44,14,47) (10,43,13,48) (11,41,16,46) (12,42,15,45) (17,59,22,64) (18,60,21,63) (19,58,24,61) (20,57,23,62) (25,51,30,56) (26,52,29,55) (27,50,32,53) (28,49,31,54)
	(1,54,15,60,2,53,16,59) (3,55,13,57,4,56,14,58) (5,50,11,64,6,49,12,63) (7,51,9,61,8,52,10,62) (17,48,31,33,18,47,32,34) (19,45,29,36,20,46,30,35) (21,44,27,37,22,43,28,38) (23,41,25,40,24,42,26,39)